摘要
讨论了物性依赖于温度的非线性热传导方程ut=uαuxx1<α<32具非线性边界条件-ux(0,t)=up(0,t),u(l,t)=0的解的性态,并估计了爆破解的爆破速率.
The nonlinear heat-conduction eqution u_t=u~αu_(xx)1<α<32 with nonlinear boundary condition (-u_x(0,t))=u^p(0,t),u(l,t)=0 is discussed. The blow-up rate of the blow-up solutions is estimated.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第6期1037-1041,共5页
Journal of Sichuan University(Natural Science Edition)
关键词
拟线性退化抛物方程
非线性边界条件
爆破解
quasilinear degenerate parabolic equation
nonlinear boundary condition
blow-up solution.
